Burgundy, like Bordeaux is a classic wine region of France. The name of the region in French is Bourgogne, and it's the name you can see on wine's labels of that region.
Burgundy is made out of three grape varieties which are Pinot Noir, Chardonnay and Gamay. While Gamay is a juicy and fruity grape, Pinot noir is very hard to grow and can be pretty unpredictable as well. If grown and produced right, though, it will give an excellent wine, and Burgundy wine makers seem to be very successful in making excellent reds with Pinot Noir.
Beaujolais wine, sometimes mistakenly thought to be a rhône Valley wine, is in fact a Burgundy. While some Burgundy wines made of Chardonnay and Pinot Noir can be very expensive, Beaujolais, made of Gamay is more affordable. Gamay is a very juicy and fruity grape easier to grow and to transform into wine.
Burgundy is a very different wine region form Bordeaux, and when it comes to vineyards and producers it can be much more confusing since several producers can own the same vineyard, and one the other hand, different vineyards can belong to the same producer. This is the reason why, when it comes to Burgundy wine, the producer makes most of the difference in the taste and quality. A very good example of this is Beaujolais which is a totally different wine from one producer to another. When it comes to Beaujolais, knowing the producers will help you a great deal in making the right choice.
I am fortunate enough to know of a couple of the best Beaujolais producers whose most vineyards belong to Morgon and Fleurie, but if you don't know any, you can still get by with some good Beaujolais wines areas such as Chiroubles, Fleurie, Morgon and Moulin-à-vent which all make some distinct yet great Beaujolais wines.
Chardonnay is the only white wine of Burgundy which is one of the easiest to grow in this region; However, the demand is not nearly as high as for the red, which brings the price of white Burgundy wine pretty high.